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460672 = 275961
BaseRepresentation
bin1110000011110000000
3212101220221
41300132000
5104220142
613512424
73626032
oct1603600
9771827
10460672
11295123
121a2714
131318b4
14bdc52
1591767
hex70780

460672 has 32 divisors (see below), whose sum is σ = 948600. Its totient is φ = 222720.

The previous prime is 460657. The next prime is 460673. The reversal of 460672 is 276064.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460673) by changing a digit.

460672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7522 + ... + 7582.

2460672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474300).

460672 is an abundant number, since it is smaller than the sum of its proper divisors (487928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460672 is an equidigital number, since it uses as much as digits as its factorization.

460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 460672 is about 678.7282224867. The cubic root of 460672 is about 77.2319983329.

The spelling of 460672 in words is "four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 128 236 244 472 488 944 976 1888 1952 3599 3776 3904 7198 7552 7808 14396 28792 57584 115168 230336 460672